Sequences and Series
If in an A.P. the sum of p terms is equal to sum of q terms, then prove that the sum of p+q terms is zero.
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If the mean of x,x+2,x+4,x+8 is 20 find x.
The least value of 6tan2ϕ +54cot2ϕ is (I) 54 when A.M≥G.M is applicable for 6tan2ϕ ,54cot2ϕ ,18(II) 54 when A.M≥G.M is applicable for 6tan2ϕ ,54cot2ϕ ,18 is added further(III) 78 when tan2ϕ =cot2ϕ
If A=cos2x+cos2x1,B=cosx−cosx1 ∀x=(2n±1)2π, then the minimum value of BA is
If A is the area and 2s the sum of three sides of a triangle, then
Find x, if 2,x,21 are in G.P.
If a,b,c are different positive real numbers such that b+c−a,c+a−b and a+b−c are positive, then (b+c−a)(c+a−b)(a+b−c)−abc is
If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the value of x.
Insert 20 AM. between 2 and 86.